A statement released by his family said: "Trevor Peacock, actor, writer and song-writer, died aged 89 on the morning of March 8th from a dementia-related illness."
Born in 1931, he would have turned 90 in May.
An actor and writer, Peacock is best known for his role as confused and confusing villager Jim Trott in the ecclesiastical sitcom, entertaining millions with his regular murmurings of "no, no, no, no... yes".
The sitcom debuted on the BBC in 1994, and he last played Jim in a 2015 Comic Relief special. His Alzheimer's diagnosis was announced in 2017, at which point Peacock's family revealed he could no longer remember the hit comedy series.
Alongside Jeremy Lloyd, he created 1961 feature film What A Whopper. Starring Adam Faith and Sid James with guest roles for the likes of Spike Milligan, Charles Hawtrey, Clive Dunn and Terry Scott, the feature followed a group of young friends who orchestrate a new sighting of the Loch Ness Monster.
Lesser-known amongst Peacock's wide body of work are a number of 1960s pop songs, most notably Mrs. Brown, You've Got A Lovely Daughter. Originally produced for a 1963 TV play, a later version recorded by Herman's Hermits reached number one in both the US and Canada in Spring 1965.
Daniel Peacock is also an actor and writer, with credits ranging from Only Fools And Horses to Marley's Ghosts, The Comic Strip Presents and Teenage Health Freak. Harry Peacock also entered the acting profession, and, married to Katherine Parkinson, is perhaps best known for his lead roles in Star Stories and Toast Of London.
Here are some highlights of Jim Trott in action on The Vicar Of Dibley: